dorsal/arxiv
View SchemaFormation of Root Singularities on the Free Surface of a Conducting Fluid in an Electric Field
| Authors | N. M. Zubarev |
|---|---|
| Categories | |
| ArXiv ID | physics/0009050 |
| URL | https://arxiv.org/abs/physics/0009050 |
| DOI | 10.1016/S0375-9601(98)00282-5 |
| Journal | Phys. Lett. A 243 (1998) 128-131 |
Abstract
The formation of singularities on a free surface of a conducting ideal fluid in a strong electric field is considered. It is found that the nonlinear equations of two-dimensional fluid motion can be solved in the small-angle approximation. This enables us to show that for almost arbitrary initial conditions the surface curvature becomes infinite in a finite time.
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"abstract": "The formation of singularities on a free surface of a conducting ideal fluid\nin a strong electric field is considered. It is found that the nonlinear\nequations of two-dimensional fluid motion can be solved in the small-angle\napproximation. This enables us to show that for almost arbitrary initial\nconditions the surface curvature becomes infinite in a finite time.",
"arxiv_id": "physics/0009050",
"authors": [
"N. M. Zubarev"
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"doi": "10.1016/S0375-9601(98)00282-5",
"journal_ref": "Phys. Lett. A 243 (1998) 128-131",
"title": "Formation of Root Singularities on the Free Surface of a Conducting Fluid in an Electric Field",
"url": "https://arxiv.org/abs/physics/0009050"
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